Abstract
Many linear systems arise as subproblems in the solution of nonlinear equations, either as part of a simple fixed-point of a Newton's method iteration. This paper considers the use of domain decomposition techniques for the solution of these linear problems in the context of solving a multicomponent system of nonlinear equations on two types of parallel processors. One of the computations is drawn from fluid dynamics and includes locally refined grids. Such problems require great computational resources, and domain, decomposition seems to offer a way to efficiently solve these problems on computers with significant parallelism. The domain decomposition approach used is as in Gropp and Keyes, modified to achieve better parallelism and to reduce the computational work. 13 refs., 2 figs., 5 tabs.